428806912 has 72 divisors (see below), whose sum is σ = 931131936. Its totient is φ = 196263936.

The previous prime is 428806907. The next prime is 428806921. The reversal of 428806912 is 219608824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159693 + ... + 162355.

It is an arithmetic number, because the mean of its divisors is an integer number (12932388).

Almost surely, 2^428806912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428806912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465565968).

428806912 is an abundant number, since it is smaller than the sum of its proper divisors (502325024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428806912 is a wasteful number, since it uses less digits than its factorization.

428806912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2733 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 428806912 is about 20707.6534643595. The cubic root of 428806912 is about 754.0855041676.

The spelling of 428806912 in words is "four hundred twenty-eight million, eight hundred six thousand, nine hundred twelve".